名校
解题方法
1 . 已知点
,若圆
上存在点
满足
,则实数
的取值的范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446025874078b38c906f66d18cb7cf6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48e6fb0ec91f12b149d04d9345f1e1b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da44f9320c2991f1ad45885c5dfdbb97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-04-10更新
|
873次组卷
|
6卷引用:黑龙江省实验中学2023届高三第三次模拟考试数学试题
名校
解题方法
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a296c144fc9626f81ae59d6dc1d6a80.png)
的图像;
(2)求
;
(3)求方程
的解集,并说明当整数
在何范围时,
.有且仅有一解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a296c144fc9626f81ae59d6dc1d6a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981db5e1425f4510580273488f6e1fd0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549f9c4a708ba21ecadd712e2df626a4.png)
(3)求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b7bff9b2431134f7683a9cc4e68acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb291880ef86317d079c0e0b349403e5.png)
您最近一年使用:0次
2023-12-09更新
|
180次组卷
|
6卷引用:黑龙江省齐齐哈尔市克东县第一中学2023-2024学年高一上学期12月月考数学试卷
名校
解题方法
3 . 已知不等式
的解集为
,则实数
的取值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429961b5704f6199add5b5da7b8681f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.0 | C.![]() | D.1 |
您最近一年使用:0次
2022-11-21更新
|
597次组卷
|
3卷引用:黑龙江省大庆市东风中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
4 . 如图:小明同学先把一根直尺固定在画板上面,把一块三角板的一条直角边紧靠在直尺边沿,再取一根细绳,它的长度与另一直角边相等,让细绳的一端固定在三角板的顶点
处,另一端固定在画板上点
处,用铅笔尖扣紧绳子(使两段细绳绷直),靠住三角板,然后将三角板沿着直尺上下滑动,这时笔尖在平面上画出了圆锥曲线
的一部分图象.已知细绳长度为
,经测量,当笔尖运动到点
处,此时,
,
.设直尺边沿所在直线为
,以过
垂直于直尺的直线为
轴,以过
垂直于
的垂线段的中垂线为
轴,建立平面直角坐标系.
(1)求曲线
的方程;
(2)斜率为
的直线过点
,且与曲线
交于不同的两点
,已知
的取值范围为
,探究:是否存在
,使得
,若存在,求出
的范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741b63b4017c322eb60efaeb10efbf3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a891e388fdad657dc83dec208d23dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/11/8d3cf6df-3b76-45ad-8bd8-2ff0c22fa9e1.png?resizew=140)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137c4624509cdea01ec665854cfb03d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0df31126849d010525cbeee019bae5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-09-10更新
|
507次组卷
|
10卷引用:黑龙江省大庆铁人中学2023-2024学年高二上学期期中考试数学试题
黑龙江省大庆铁人中学2023-2024学年高二上学期期中考试数学试题广西桂林市、崇左市2023届高三一模数学(理)试题山西省太原市第五中学2023届高三一模数学试题(AB卷)(已下线)专题16解析几何(解答题)广西玉林市博白县中学2023届高三"逐梦高考"数学(理)模拟测试试题(二)辽宁省沈阳市第二中学2023届高三第五次模拟考试数学试题广西壮族自治区防城港市2023届高三下学期4月第三次联合调研考试数学(理)试题(已下线)考点19 解析几何中的探索性问题 2024届高考数学考点总动员【练】(已下线)专题08 抛物线的压轴题(5类题型+过关检测)-【常考压轴题】2023-2024学年高二数学上学期压轴题攻略(人教A版2019选择性必修第一册)(已下线)专题突破卷23 圆锥曲线大题归类
名校
5 . 已知二次函数
满足
且
.
(1)求
的解析式;
(2)若方程
,
时有唯一一个零点,且不是重根,求
的取值范围;
(3)当
时,不等式
恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdcb20fdc8bab941d857045172f20a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132d41feaf28a5d96470d23780262b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7a07624cc738da030ed9f2ca79e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-02-22更新
|
459次组卷
|
3卷引用:黑龙江省龙西北高中名校联盟2023-2024学年高三上学期开学考试数学试题
名校
解题方法
6 . 已知函数
,若函数
有四个零点
,
,
,
,且
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da76c7124256c6c120acdc4552820b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71ffeb0ff803530b726bd0258b1ef0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
A.![]() ![]() | B.![]() ![]() ![]() ![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-01-11更新
|
906次组卷
|
3卷引用:黑龙江省哈尔滨市第九中学校2023-2024学年高一上学期12月月考数学试卷
名校
7 . 已知函数
.
(1)当
时,若方程式
在
上有解,求实数
的取值范围;
(2)若
在
上恒成立,求实数
的值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5869020b4e380d208e706c564bde2770.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05a299e93891837f2706a82a3650305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4f0643ea23ef34752af491ba7c416b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-01-05更新
|
653次组卷
|
2卷引用:黑龙江省齐齐哈尔市讷河市第二中学等3校2022-2023学年高一下学期开学考试数学试题
名校
解题方法
8 . 设函数
,
,
.
(1)若
的解集为
,判断
的单调性并用单调性定义加以证明;
(2)设函数
(其中
),若
,总
,使得不等式
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3272405f79e517734fb7ea55612f474e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232d1ce3ad14256b1543e6007ff1675d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a1b29ad91535c0c61f94ac295328e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e51f2c795ab4791cc89ea49699fc5b.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa74fd1547b531433cf5346df88e8762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd49494644c1a8dbd2d4c9700ed1347a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede28d6c3e621ac4157d0c377d99ca3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18629d3101cbac31c1dd332a6d5d6f12.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
.
(1)若不等式
的解集为
,求不等式
的解集.
(2)若
,
解集为
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06d6c7184c1c384c2b73848c75fa4a17.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcf7ca43bf07b97313d00292162e994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d19de94ca7189455eaf61f773e7180.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73bd4e5bd4a9fb9f9bbdf7f18f957b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a837165ca03f9e4ea8964979c95e3bb.png)
您最近一年使用:0次
名校
解题方法
10 . 已知关于
的不等式
,
.
(1)当
时,求不等式
的解集;
(2)若“不等式
的解集为
”为假命题,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1b74feedf6b38d6d20638138cc7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1b74feedf6b38d6d20638138cc7b1.png)
(2)若“不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1b74feedf6b38d6d20638138cc7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次